Question

The data set 80, 84, 79, 44, 87, 73, 89, 90, 82, 89, 93, 97, 77, and 71 is graphed below. A graph shows the horizontal axis labeled 40 to 49 thru 90 to 99 on the horizontal axis and the vertical axis labeled 0 to 8. 40 to 49 is 1. 50 to 59 is 0. 60 to 69 is 0. 70 to 79 is 4. 80 to 89 is 6. 90 to 99 is 3. Use the histogram to answer the questions. What type of distribution is this? What is the mean? What is the median? Which measure of center is the best choice for this data set?.

Answer 1

Based on the information given, it can be deduced that the distribution is a skewed distribution and the best choice is a median.

How to calculate the mean.

The mean will be:

= (80 + 84 + 79 + 44 + 87 + 73 + 89 + 90 + 82 + 89 + 93 + 97 + 77 + 71) / 14

= 1135/14

= 81.07

The median will be the middle number after the numbers are arranged in ascending order. This will be:

44, 71, 73, 77, 79, 80, 82, 84, 87, 89, 89, 90, 93, and 97. Therefore, the median will be:

= (82 + 84) / 2

= 83

Lastly, the measure of center that is the best choice for this data set is median.

Learn more about median on:

brainly.com/question/14805451

Answer 2

The value of the mean is 81.07.

The value of the median is 83.

The measure of center that is the best choice for this data set is the median.

Given

The data set 80, 84, 79, 44, 87, 73, 89, 90, 82, 89, 93, 97, 77, and 71 is graphed below.

What is mean?

The mean is the average or the most common value in a collection of numbers.

The mean is calculated by using the following formula;

$\rm Mean = \dfrac{Sum \ of \ all \ numbers}{Total \ numbers}$

Substitute all the values in the formula;

$\rm Mean = \dfrac{Sum \ of \ all \ numbers}{Total \ numbers}\\\\\rm Mean = \dfrac{80 + 84 + 79 + 44 + 87 + 73 + 89 + 90 + 82 + 89 + 93 + 97 + 77 + 71}{14}\\\\Mean = \dfrac{1135}{14}\\\\Mean = 81.07$

The median will be the middle number after the numbers are arranged in ascending order.

The correct order is;

44, 71, 73, 77, 79, 80, 82, 84, 87, 89, 89, 90, 93, and 97.

Therefore,

The median is;

$\rm Median = \dfrac{82+84}{2}\\\\Median = \dfrac{166}{2}\\\\Median =83$

Hence, the measure of center that is the best choice for this data set is the median.

To know more about Median click the link is given below.

brainly.com/question/1363341